valueToFloat16Bytes.js 1.7 KB

12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273
  1. 'use strict';
  2. var $abs = require('math-intrinsics/abs');
  3. var $floor = require('math-intrinsics/floor');
  4. var $pow = require('math-intrinsics/pow');
  5. var isFinite = require('math-intrinsics/isFinite');
  6. var isNaN = require('math-intrinsics/isNaN');
  7. var isNegativeZero = require('math-intrinsics/isNegativeZero');
  8. var maxFiniteFloat16 = 65504; // 2**16 - 2**5
  9. module.exports = function valueToFloat16Bytes(value, isLittleEndian) {
  10. // NaN → exponent=all-ones, mantissa MSB=1 → 0x7e00
  11. if (isNaN(value)) {
  12. return isLittleEndian
  13. ? [0x00, 0x7e]
  14. : [0x7e, 0x00];
  15. }
  16. var leastSig;
  17. // ±0 → just the sign bit
  18. if (value === 0) {
  19. leastSig = isNegativeZero(value) ? 0x80 : 0x00;
  20. return isLittleEndian
  21. ? [0x00, leastSig]
  22. : [leastSig, 0x00];
  23. }
  24. // ±∞ → exponent=all-ones, mantissa=0 → 0x7c00 or 0xfc00
  25. if ($abs(value) > maxFiniteFloat16 || !isFinite(value)) {
  26. leastSig = value < 0 ? 0xfc : 0x7c;
  27. return isLittleEndian
  28. ? [0x00, leastSig]
  29. : [leastSig, 0x00];
  30. }
  31. var sign = value < 0 ? 1 : 0;
  32. value = $abs(value); // eslint-disable-line no-param-reassign
  33. // normalize to [1,2)
  34. var exponent = 0;
  35. while (value >= 2) {
  36. exponent += 1;
  37. value /= 2; // eslint-disable-line no-param-reassign
  38. }
  39. while (value < 1) {
  40. exponent -= 1;
  41. value *= 2; // eslint-disable-line no-param-reassign
  42. }
  43. // build mantissa (10 bits)
  44. var mantissa = value - 1;
  45. mantissa *= $pow(2, 10) + 0.5;
  46. mantissa = $floor(mantissa);
  47. // apply bias (15) and shift into place
  48. exponent += 15;
  49. exponent <<= 10;
  50. // pack sign, exponent, mantissa
  51. var result = (sign << 15) | exponent | mantissa;
  52. // split into two bytes
  53. var byte0 = result & 0xFF;
  54. result >>= 8;
  55. var byte1 = result & 0xFF;
  56. return isLittleEndian
  57. ? [byte0, byte1]
  58. : [byte1, byte0];
  59. };